Page 18 - LAPLACE TRANSFORM
P. 18
4
2. f(t) = t
ʆ {f(t)} = ʆ {t }
4
! 4! 1 2 3 4
= = =
( ) +1 ( ) 4+1 ( ) 4+1
24
=
5
n!
n
5 Power t ( = 1,2,3 … . )
s n+1
A
3 5t
3t
3. f(t) = 5e + t e
3t
3 5t
ʆ {f(t)} = ʆ {5e + t e }
A n! 1
= .
s n+1 −
= 3! . 1
3+1 −5
= 5 [ 1 ] + [ ! ]
( − ) ( − ) +1
= 5 [ 1 ] + [ 3! ]
( −3) ( −5) 3+1
= 5 + 1 2 3
( −3) ( −5) 4
5 6
= +
( −3) ( −5) 4
12
